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Finding the Fourth Proportional to 1,367.62, 1,887.25 and 778.10

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Solution

The fourth proportional to 1,367.62, 1,887.25 and 778.10 is: 1,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.62 : 1,887.25 = 778.10 : x
  2. Step 2: Convert to fraction form
    1,367.62/1,887.25 = 778.10/x
  3. Step 3: Cross multiply
    1,367.62x = 1,887.25 × 778.10
  4. Step 4: Simplify right side
    1,367.62x = 1,468,469.23
  5. Step 5: Solve for x
    x = 1,468,469.23/1,367.62
  6. Step 6: Final answer
    x = 1,073.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.